Geodesics on Flat Surfaces
classification
🧮 math.DS
math.GT
keywords
geodesicsflatsurveyapplicationasymptoticclosedconnectionsconsider
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This short survey illustrates the ideas of Teichmuller dynamics. As a model application we consider the asymptotic topology of generic geodesics on a "flat" surface and count closed geodesics and saddle connections. This survey is based on the joint papers with A.Eskin and H.Masur and with M.Kontsevich.
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